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Kyoto Journal of Mathematics最新文献

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Equivariant higher-index problems for proper actions and nonpositively curved manifolds 固有作用与非正弯曲流形的等变高指标问题
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-06-01 DOI: 10.1215/21562261-2019-0044
Xiaoman Chen, Benyin Fu, Qin Wang, Dapeng Zhou
{"title":"Equivariant higher-index problems for proper actions and nonpositively curved manifolds","authors":"Xiaoman Chen, Benyin Fu, Qin Wang, Dapeng Zhou","doi":"10.1215/21562261-2019-0044","DOIUrl":"https://doi.org/10.1215/21562261-2019-0044","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47919397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Nullity bounds for certain Hamiltonian delay equations 某些哈密顿时滞方程的零界
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-05-15 DOI: 10.1215/21562261-2022-0039
U. Frauenfelder
{"title":"Nullity bounds for certain Hamiltonian delay equations","authors":"U. Frauenfelder","doi":"10.1215/21562261-2022-0039","DOIUrl":"https://doi.org/10.1215/21562261-2022-0039","url":null,"abstract":"In this paper we introduce a class of Hamilton delay equations which arise as critical points of an action functional motivated by orbit interactions. We show that the kernel of the Hessian at each critical point of the action functional satisfies a uniform bound on its dimension.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47635606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The adjoint algebra for 2-categories 两类的伴随代数
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-05-11 DOI: 10.1215/21562261-2022-0035
N. Bortolussi, M. Mombelli
{"title":"The adjoint algebra for 2-categories","authors":"N. Bortolussi, M. Mombelli","doi":"10.1215/21562261-2022-0035","DOIUrl":"https://doi.org/10.1215/21562261-2022-0035","url":null,"abstract":"For any 0-cell $B$ in a 2-category $Bc$ we introduce the notion of adjoint algebra $adj_B$. This is an algebra in the center of $Bc$. We prove that, if $ca$ is a finite tensor category, this notion applied to the 2-category of $ca$-module categories, coincides with the one introduced by Shimizu [Further results on the structure of (Co)ends in fintite tensor categories}, Appl. Categor. Struct. (2019). this https URL]. As a consequence of this general approach, we obtain new results on the adjoint algebra for tensor categories.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44277328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Moduli of parabolic sheaves and filtered Kronecker modules 抛物槽轮模和滤波Kronecker模
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-05-03 DOI: 10.1215/21562261-10428418
Sanjay Amrutiya, U. Dubey
{"title":"Moduli of parabolic sheaves and filtered Kronecker modules","authors":"Sanjay Amrutiya, U. Dubey","doi":"10.1215/21562261-10428418","DOIUrl":"https://doi.org/10.1215/21562261-10428418","url":null,"abstract":"We give functorial moduli construction of pure parabolic sheaves, in the sense of Alvarez-Consul and A. King, using the moduli of filtered Kronecker modules which we introduced in our earlier work. We also use a version of S. G. Langton's result due to K. Yokogawa to deduce the projectivity of moduli of parabolic sheaves. As an application of functorial moduli construction, we can get the morphisms at the level of moduli stacks.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47041431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Graded decompositions of fusion products in rank 2 2级融合产物的分级分解
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-04 DOI: 10.1215/21562261-2022-0016
Leon Barth, Deniz Kus
{"title":"Graded decompositions of fusion products in rank 2","authors":"Leon Barth, Deniz Kus","doi":"10.1215/21562261-2022-0016","DOIUrl":"https://doi.org/10.1215/21562261-2022-0016","url":null,"abstract":"We determine the graded decompositions of fusion products of finite-dimensional irreducible representations for simple Lie algebras of rank two. Moreover, we give generators and relations for these representations and obtain as a consequence that the Schur positivity conjecture holds in this case. The graded Littlewood-Richardson coefficients in the decomposition are parametrized by lattice points in convex polytopes and an explicit hyperplane description is given in the various types.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66025447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Hausdorff operators on Morrey-type spaces Morrey型空间上的Hausdorff算子
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-01 DOI: 10.1215/21562261-2019-0035
V. Burenkov, E. Liflyand
{"title":"Hausdorff operators on Morrey-type spaces","authors":"V. Burenkov, E. Liflyand","doi":"10.1215/21562261-2019-0035","DOIUrl":"https://doi.org/10.1215/21562261-2019-0035","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/21562261-2019-0035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43416951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope 奇异点分辨率的模糊组合:(一点)超越特征多面体
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-01 DOI: 10.1215/21562261-2019-0037
Helena Cobo, M. Soto, J. Tornero
{"title":"Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope","authors":"Helena Cobo, M. Soto, J. Tornero","doi":"10.1215/21562261-2019-0037","DOIUrl":"https://doi.org/10.1215/21562261-2019-0037","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48530741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the period of Lehn, Lehn, Sorger, and van Straten’s symplectic eightfold 在Lehn时期，Lehn, Sorger和van Straten的辛八倍
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-03-24 DOI: 10.1215/21562261-2022-0033
N. Addington, Franco Giovenzana
{"title":"On the period of Lehn, Lehn, Sorger, and van Straten’s symplectic eightfold","authors":"N. Addington, Franco Giovenzana","doi":"10.1215/21562261-2022-0033","DOIUrl":"https://doi.org/10.1215/21562261-2022-0033","url":null,"abstract":"For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from H^4_prim(Y) to H^2_prim(Z) is a Hodge isometry. We describe the full H^2(Z) in terms of the Mukai lattice of the K3 category A of Y. We give numerical conditions for Z to be birational to a moduli space of sheaves on a K3 surface or to Hilb^4(K3). We propose a conjecture on how to use Z to produce equivalences from A to the derived category of a K3 surface.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47754304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Eight flavors of cyclic homology 循环同源的八种口味
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-03-05 DOI: 10.1215/21562261-2021-0008
K. Cieliebak, E. Volkov
{"title":"Eight flavors of cyclic homology","authors":"K. Cieliebak, E. Volkov","doi":"10.1215/21562261-2021-0008","DOIUrl":"https://doi.org/10.1215/21562261-2021-0008","url":null,"abstract":"We introduce eight versions of cyclic homology of a mixed complex and study their properties. In particular, we determine their behaviour with respect to Chen iterated integrals.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46703235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Seifert form of chain-type invertible singularities 链型可逆奇异点的塞弗特形式
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-02-25 DOI: 10.1215/21562261-2022-0038
Umut Varolgunes
{"title":"Seifert form of chain-type invertible singularities","authors":"Umut Varolgunes","doi":"10.1215/21562261-2022-0038","DOIUrl":"https://doi.org/10.1215/21562261-2022-0038","url":null,"abstract":"In this paper, we confirm a conjecture of Orlik-Randell from 1977 on the Seifert form of chain type invertible singularities. We use Lefschetz bifibration techniques as developed by Seidel (inspired by Arnold and Donaldson) and take advantage of the symmetries at hand. We believe that our method will be useful in understanding the homological/categorical version of Berglundt-Hubsch mirror conjecture for invertible singularities.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44917165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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